The centrifugal gravity approach requires a massive structure - you need something like 200+ meter radius to keep rotation rates low enough that Coriolis effects don't make people nauseous (which would create a whole different toilet problem). Building a better space toilet is orders of magnitude cheaper and lighter than spinning up a habitat.
You could just dangle the toilet on the end of a filament, and rotate the capsule and the outhouse around the centre of mass. No massive structure needed, just remember to take the farmer’s almanac with you before you head out.
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SpinCalc is a useful simple tool for looking at the tradeoffs of centrifugal artificial gravity: https://www.artificial-gravity.com/sw/SpinCalc/